[xeroinfinity]

On the key fob if it was really cold sometime the relays are slow to react But the unlock relay could be bad.
Also check the contacts in the fob button area.

With the ABS, trac off, and brake light you could have a wheel sensor going bad.
Best thing here is to Get it scanned with an ABS capable scanning Tool.

With the dinging, might have just shut the car off and removed the key to fast, the ignition switch could be dirty, or its going bad.